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204421420434240 = 2632570979659873
BaseRepresentation
bin101110011110101110010010…
…001001100100001101000000
3222210210111102021012221012200
4232132232102021210031000
5203243220032112343430
62002433523141553200
761025650236026352
oct5636562211441500
9883714367187180
10204421420434240
115a153701641629
121ab162a8115800
138a0ab1b454cb9
14386a099d1d0d2
15189770c23d460
hexb9eb92264340

204421420434240 has 84 divisors (see below), whose sum is σ = 703124510711844. Its totient is φ = 54512378781696.

The previous prime is 204421420434233. The next prime is 204421420434263. The reversal of 204421420434240 is 42434024124402.

204421420434240 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 21 + 4 + 204 + 3 + 424 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 145923887370816 + 58497533063424 = 12079896^2 + 7648368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204421420434195 and 204421420434204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35489827057 + ... + 35489832816.

Almost surely, 2204421420434240 is an apocalyptic number.

204421420434240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204421420434240 is an abundant number, since it is smaller than the sum of its proper divisors (498703090277604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204421420434240 is a wasteful number, since it uses less digits than its factorization.

204421420434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70979659896 (or 70979659883 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 204421420434240 its reverse (42434024124402), we get a palindrome (246855444558642).

The spelling of 204421420434240 in words is "two hundred four trillion, four hundred twenty-one billion, four hundred twenty million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 70979659873 141959319746 212938979619 283918639492 354898299365 425877959238 567837278984 638816938857 709796598730 851755918476 1064694898095 1135674557968 1277633877714 1419593197460 1703511836952 2129389796190 2271349115936 2555267755428 2839186394920 3194084694285 3407023673904 4258779592380 4542698231872 5110535510856 5678372789840 6388169388570 6814047347808 8517559184760 10221071021712 11356745579680 12776338777140 13628094695616 17035118369520 20442142043424 22713491159360 25552677554280 34070236739040 40884284086848 51105355108560 68140473478080 102210710217120 204421420434240